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Finding the Fourth Proportional to 199,992.30, 299,988.45 and 81,602.70

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Solution

The fourth proportional to 199,992.30, 299,988.45 and 81,602.70 is: 122,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,992.30 : 299,988.45 = 81,602.70 : x
  2. Step 2: Convert to fraction form
    199,992.30/299,988.45 = 81,602.70/x
  3. Step 3: Cross multiply
    199,992.30x = 299,988.45 × 81,602.70
  4. Step 4: Simplify right side
    199,992.30x = 24,479,867,488.82
  5. Step 5: Solve for x
    x = 24,479,867,488.82/199,992.30
  6. Step 6: Final answer
    x = 122,404.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.